| Автор | Manfred Requardt |
| Автор | Anja Schlömerkemper |
| Дата выпуска | 1999-10-29 |
| dc.description | In this paper we study the behaviour of Hamilton operators and their spectra which depend on infinitely many coupling parameters or, more generally, parameters taking values in some Banach space. One of the physical models which motivates this framework is a quantum particle moving in a more or less disordered medium. One may, however, also envisage other scenarios where operators are allowed to depend on interaction terms in a manner we are going to discuss below. The central idea is to vary the occurring infinitely many perturbing potentials independently. As a side aspect this then leads naturally to the analysis of a couple of interesting questions of a more or less purely mathematical flavour which belong to the field of infinite-dimensional holomorphy or holomorphy in Banach spaces. In this general setting we study in particular the stability of the self-adjointness of the operators under discussion and the analyticity of eigenvalues under the condition that the perturbing potentials belong to certain classes. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Perturbation theory of Schrödinger operators in infinitely many coupling parameters |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/43/307 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 7523 |
| Последняя страница | 7541 |
| Выпуск | 43 |
